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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 6

If K = {x : x ∈ N, x ≥ 50}, what type of set is K?

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Answer and explanation

Correct answer: Infinite set

The natural numbers satisfying x ≥ 50 are 50, 51, 52, 53, and so on. There is no greatest natural number, so more elements can always be added to the list. Consequently, K has infinitely many elements and is an infinite set, not a finite or singleton set.

Tags

setsinfinite setnatural numbersbounded setsThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

Infinite set

Why is this the correct answer?

The natural numbers satisfying x ≥ 50 are 50, 51, 52, 53, and so on. There is no greatest natural number, so more elements can always be added to the list. Consequently, K has infinitely many elements and is an infinite set, not a finite or singleton set.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

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